Tradeoff between Leakage and Dephasing Errors in the Fluxonium Qubit

Abstract

We present a tradeoff between leakage and pure dephasing errors for the fluxonium circuit. We show that in the insulating regime, i.e., when the persistent current flowing across the circuit is suppressed, the pure dephasing rate decreases exponentially as the impedance of the circuit is increased. In contrast to this exponential decrease, the qubit remains sufficiently anharmonic so that gates times can still be short, allowing for significant reduction in the computational error rates.

6 pages, 5 figures

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• Comparing Zeeman qubits to hyperfine qubits in the context of the surface code: ${}^{174}$Yb${}^{+}$ and ${}^{171}$Yb${}^{+}$
• Handling Leakage with Subsystem Codes
• Dephasing due to quasiparticle tunneling in fluxonium qubits: a phenomenological approach
• The quartic Blochnium: an anharmonic quasicharge superconducting qubit
• Error metric for non-trace-preserving quantum operations